Show how the following objective function can be presented in linear programing equations: Minimize z = max {| x1− x2+3 x3|, |− x1+3 x2− x3|} x1,  x2,  x3 ≥ 0 (Hint:  |a| ≤ b  is equivalent to a ≤ b and a ≥ −b)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
Problem 2E
icon
Related questions
Topic Video
Question

Show how the following objective function can be presented in linear programing equations:

Minimize z = max {| x1− x2+3 x3|, |− x1+3 x2− x3|}

x1,  x2,  x3 ≥ 0

(Hint:  |a| ≤ b  is equivalent to a ≤ b and a ≥ −b)

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell